Karen Vogtmann – Trees, sphere systems and isoperimetric functions for

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Date(s) - 13 mai 2011

Catégories Pas de Catégories

Outer space can be described as a space of actions on trees or as a space of sphere systems in a doubled handlebody. I will use both descriptions to give lower and upper bounds on the 2-dimensional isoperimetric function for $Out(F_n)$. The upper bounds work for arbitrary-dimensional isoperimetric functions, but for $n>2$ the optimal lower bound is not known.